[1] S. Agmon, A. Douglis, and L. Nirenberg. Estimates near the boundary for solutions of ellip-
tic partial differential equations satisfying general boundary conditions II, Communications
on Applied Mathematics, 17, 35-92. 1964.
[2] S. Agmon. Lectures on Elliptic Boundary Value Problems, D. Van Nostrand, Princeton, New
Jersey, 1965.
[3] Kh.A. Alibekov. Investigations in C and Lp of difference schemes of high order accuracy for
apporoximate solutions of multidimensional parabolic boundary value problems, Dissertation,
Voronezh State University, Voronezh, 1978.
[4] A. Ashyralyev and P.E. Sobolevskii. The linear operator interpolation theory and the stabil-
ity of the difference schemes, Doklady Akademii Nauk SSSR, 275(6), 1289-1291. 1984.
[5] A. Ashyralyev. Method of Positive Operators of Investigations of the High Order of Accuracy
Difference Schemes for Parabolic and Elliptic Equations, Dissertation, Institute of Mathematics
of the National Academy of Sciences, Kiev. 1991.
[6] A. Ashyralyev and P.E. Sobolevskii. Well-posedness of parabolic difference equations,
Birkhäuser Verlag, Basel, Boston, Berlin, 1994.
[7] A. Ashyralyev. On well-posedness of the nonlocal boundary value problem for elliptic equa-
tions, Numerical Functional Analysis and Optimization, 24(1-2), 1-15. 2003.
REFERENCES 173
[8] A. Ashyralyev and P.E. Sobolevskii. New difference schemes for partial differential equa-
tions, Birkhäuser Verlag, Basel, Boston, Berlin, 2004.
[9] A. Ashyralyev, S. Akturk and Y. Sozen. The structure of fractional spaces generated by a two-
dimensional elliptic differential operator and its applications, Boundary Value Problems,
2014(3), pages 17. 2014.
[10] A. Ashyralyev and D. Agirseven. Well-posedness of delay parabolic difference equations,
Advances in Difference Equations, 2014(18), 2014.
[11] A. Ashyralyev, N. Nalbant and Y. Sozen. Structure of fractional spaces generated by second
order difference operators, Journal of the Franklin Institute, 351(2), 713-731. 2014.
[12] A. Ashyralyev and S. Akturk. Fractional spaces generated by the positive differential opera-
tor in the half-line R+ and their applications, AIP Conference Proceedings, ICAAM 2014,
1611, 211-215. 2014.
[13] A. Ashyralyev and F.S. Tetiko˘glu. A note on fractional spaces generated by the positive
operator with periodic conditions and applications, Boundary Value Problems, 2015(31),
doi:10.1186/s13661-015-0293-9. 2015.
[14] S. I. Danelich. Positive difference operators in R
h1(Russian), Voronezh Gosud University,
Deposited VINITI 3(18), 1936-B87, pages 13. 1987.
[15] S.I. Danelich. Fractional powers of positive difference operators, Dissertation, Voronezh
State University, Voronezh, 1989.
[16] V. Shakhmurov. Abstract Differential Equations with VMO Coefficients in Half Space and
Applications, Mediterranean Journal of Mathematics, DOI 10.1007/s00009-015-0599-y,
Springer Basel, 2015.
[17] Yu. A. Simirnitskii. Positivity of Difference Elliptic Operators(Russian), PhD Thesis,
Voronezh State University, Voronezh, 1983.
[18] P.E. Sobolevskii. The coercive solvability of difference equations, Doklady Akademii Nauk
SSSR, 201(5), 1063-1066. 1971.
[19] P. E. Sobolevskii.Well-posedness of difference elliptic equation, Discrete Dynamics in Nature
and Society, 1(3), 219-231. 1997.
[20] P. E. Sobolevskii. A new method of summation of Fourier series converging in C-norm, Semigroup
Forum, 71, 289-300. 2005.
[21] M.Z. Solomyak. Analytic semigroups generated by elliptic operator in spaces Lp, Doklady
Akademii Nauk SSSR, 127(1), 37-39. 1959
[22] M.Z. Solomyak. Estimation of normof the resolvent of elliptic operator in spaces Lp, Uspekhi
Matematicheskikh Nauk, 15(6), 141-148. 1960.
REFERENCES 174
[23] H.B. Stewart. Generation of analytic semigroups by strongly elliptic operators under general
boundary conditions, Transactions of the American Mathematical Society, 259, 299-310.
1980.
[24] H. Triebel. Interpolation theory, function spaces, differential operators, North-Holland,
Amsterdam-New York, 1978.
Thank you for copying data from http://www.arastirmax.com
